MindMap Gallery optimal value problem
This is a mind map about the optimal value problem, which introduces reverse construction, collection structure, Main knowledge points such as sequence construction.
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Avatar 3 centers on the Sully family, showcasing the internal rift caused by the sacrifice of their eldest son, and their alliance with other tribes on Pandora against the external conflict of the Ashbringers, who adhere to the philosophy of fire and are allied with humans. It explores the grand themes of family, faith, and survival.
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optimal value problem
The most unlucky 1 (drawer principle)
feature
At least (minimum)... Guaranteed;
method
Find the most unlucky situation and 1
reverse construction
Set construction
feature
All... at least
method
reverse
Total minus each subject
sum
Add the subtracted numbers
Make a difference
The total minus the sum added in the second step
Sequence construction
feature
The most... the most...; ranked... the most...;
method
sort
Depends on whether the question asks about the largest, smallest, or which number?
position
Find the quantity you are looking for and set it to x
sum
Make a series of equations. The left side of the equation is all the quantities added together, and the right side of the equation is the total quantity.
Remember to use the arithmetic formula for the formula on the left side of the equation
First term plus last term multiplied by the number of terms divided by 2
Median multiplied by number
filter
At most choose small, at least choose big
type
different
1. There are at least a few at most
x x-1 x-2 …… x-n=Total number
2. At least a few at most
x x 1 x 2…x n=total number
3. Ranking nth, how many are at least the most?
The left side of n is the same as 2, and the right side of n is 1 2...
x x-1 …… n …… 2 1=Total number
4. Each person has at most n, and someone has at least at most
n n-1……x=total number
5. The most, the most
1 2 3…n x=Total number
Can be the same
6. At most and at least
x n (x-1) = total number
7. The most, the most
n x=total number
Combine with other question types
Question types that can be combined
Inclusion-exclusion principle
indefinite equation
economic profit
Ballot model
The most unlucky 1
method
Use the most valuable reverse thinking
Use each part in its own way